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Surface Melting of Particles: Predicting Spherule Size in Vapor-Phase Nanometer Particle Formation1

Published online by Cambridge University Press:  10 February 2011

Y. Xing
Affiliation:
Department of Chemical Engineering, High Temperature Chemical Reaction Engineering Lab., Yale University, New Haven, CT 06520–8286, USA
D. E. Rosner
Affiliation:
Department of Chemical Engineering, High Temperature Chemical Reaction Engineering Lab., Yale University, New Haven, CT 06520–8286, USA
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Abstract

There is still no reliable method to predict the all-important size of the ‘primary’ spherules found in combustion-synthesized particulate products. Toward this end, we introduce surface melting concepts in developing a coagulation-coalescence model for nanoparticles in the low temperature regions of diffusion flames. The associated surface self-diffusivity, which controls the rate of spherule sintering at temperatures well below the equilibrium melting point, is therefore modified to include an important size effect. This formulation is used to calculate the sintering rate of two adjacent particles in a flame coagulation environment corresponding to a condensed phase volume fraction of Ca. 10−1 ppm. Predicted spherule sizes show encouraging agreement with our experimental data for ca. 10 nm diameter Al2O3 particles synthesized on the fuel side of a laminar CH4/O2 diffusion flame seeded with Al(CH3)3 (TMA)[1].

Type
Research Article
Copyright
Copyright © Materials Research Society 1997

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Footnotes

2

Graduate Research Assistant, PhD program.

3

Prof. ChE; Director, Yale HTCRE Lab.; Email: [email protected]

1

Paper #V5.36, MRS Fall Meeting, 1996 Boston, MA USA.

References

REFERENCES

1. Xing, Y., Koylu, U.O. and Rosner, D.E., Combust. & Flame 107, 85102 (1996).Google Scholar
2. Wu, M.K., Windier, R.S., Steiner, C.K., Boris, T. and Friedlander, S.K., Aerosol Sci. Tech. 19, 527548 (1993).Google Scholar
3. van der Veen, J.F., Pluis, B. and Denier van der Gon, A.W., in Chemistry and Physics of Solid Surfaces VII, Edited by Vanselow, R. and Howe, R.F., Springer-Verlag, New York, 1988.Google Scholar
4. Lehtinen, K.E.J., Windier, R.S. and Friedlander, S.K., J. Aerosol Sci. 27, 883896 (1996).Google Scholar
5. Rosner, D.E., Transport Processes in Chemically Reacting Flow Systems, Butterworth-Heinemann, Stoneham, MA, 1986 (Third printing, 1990).Google Scholar
6. Friedlander, S.K., Smoke, Dust and Haze, Wiley, New York, 1977.Google Scholar
7. Xing, Y. and Rosner, D.E., to be submitted to J. Colloid Interface Sci. (1997).Google Scholar
8. Couchman, P.R. and Jesser, W.A., Nature 269, 481483 (1977).Google Scholar
9. Lowen, H., Phys. Rep. 237, 249324 (1994).Google Scholar
10. Bonevich, J.E. and Marks, L.D., J. Mater. Res. 7, 14891500 (1992).Google Scholar
11. Kusunoki, M., Yonimitsu, K., Sasaki, Y. and Kubo, Y., J. Am. Ceram. Soc. 76, 763765 (1993).Google Scholar
12. Zachariah, M.R. and Carrier, M.J., Mater. Res. Soc. Symp. Proc. 351, 343348 (1994).Google Scholar
13. Coblenz, W.S., Dynys, J.M., Cannon, R.M. and Coble, R.L., Mater. Sci. Res. 13, 141157 (1980).Google Scholar
14. Somorjai, G.A., Introduction to Surface Chemistry and Catalysis, Wiley, New York, 1994.Google Scholar
15. JANAF Thermochemical Tables. 3rd ed., ACS and AIP, 1986.Google Scholar
16. Mackrodt, W.C., Phil. Trans. Roy. Soc. Lond. A341, 301312 (1992).Google Scholar
17. Turkdogan, E.T., Physicochemical Properties of Molten Slags and Glasses, The Metal Society, London, 1983.Google Scholar
18. Machlin, E.S., An Introduction to Thermodynamics and Kinetics Relevent to Materials Science, Giro Press, Croton-On-Hudson, 1991.Google Scholar
19. Pluis, B., Frenkel, D. and van der Veen, J.F., Surf. Sci. 239, 282300 (1990).Google Scholar
20. Handbook of Chemistry and Physics, Editor-in-Chief, Lide, D.R., CRC Press, 1994.Google Scholar
21. Seebauer, E.G. and Allen, C.E., Prog. Surf. Sci. 49, 265330 (1995).Google Scholar